Hilbert空间中广义变分不等式和Wiener-Hopf方程

数学季刊 ›› 2011, Vol. 26 ›› Issue (2): 164-169.

Hilbert空间中广义变分不等式和Wiener-Hopf方程

1. Department of Applied Mathematics, Beijing Jiaotong University2. Department of Mathematics and Information Science, Shijiazhuang University3. College of Mathematics and Information Science, Henan University

收稿日期:2007-12-10 出版日期:2011-06-30 发布日期:2023-04-26
作者简介:SHANG Mei-juan(1979-), female, native of Shijiazhuang, Hebei, a lecturer of Shijiazhuang University, engages in nonlinear analysis and optimization theory.
基金资助:
Supported by the Natural Science Foundation of Hebei Province(A2010001943)； Supported by the Science Grant of Beijing Jiaotong University(2011YJS075)；

Generalized Variational Inequalities and Wiener-Hopf Equations in Hilbert Spaces

1. Department of Applied Mathematics, Beijing Jiaotong University2. Department of Mathematics and Information Science, Shijiazhuang University3. College of Mathematics and Information Science, Henan University

Received:2007-12-10 Online:2011-06-30 Published:2023-04-26
About author:SHANG Mei-juan(1979-), female, native of Shijiazhuang, Hebei, a lecturer of Shijiazhuang University, engages in nonlinear analysis and optimization theory.
Supported by:
Supported by the Natural Science Foundation of Hebei Province(A2010001943)； Supported by the Science Grant of Beijing Jiaotong University(2011YJS075)；

摘要/Abstract

摘要： In this paper, we consider the solvability of generalized variational inequalities involving multi-valued relaxed monotone operators in the framework of Hilbert spaces. Our results mainly improve the corresponding results announced by Verma[R U Verma, Generalized variational inequalities involving multivalued relaxed monotone operators, Appl Math Lett,1997,10:107-109]and many others.

关键词: variational inequality, Hilbert space, relaxed (γ, r)-cocoercive mapping

Abstract: In this paper, we consider the solvability of generalized variational inequalities involving multi-valued relaxed monotone operators in the framework of Hilbert spaces. Our results mainly improve the corresponding results announced by Verma[R U Verma, Generalized variational inequalities involving multivalued relaxed monotone operators, Appl Math Lett,1997,10:107-109]and many others.

Key words: variational inequality, Hilbert space, relaxed (γ, r)-cocoercive mapping

中图分类号:

O177.1

商美娟, 王治国. Hilbert空间中广义变分不等式和Wiener-Hopf方程[J]. 数学季刊, 2011, 26(2): 164-169.

SHANG Mei-juan, WANG Zhi-guo. Generalized Variational Inequalities and Wiener-Hopf Equations in Hilbert Spaces[J]. Chinese Quarterly Journal of Mathematics, 2011, 26(2): 164-169.

[1]	沈楠, 靳正芬, 王秋雨. 求解低秩列稀疏矩阵恢复问题的嵌套交替方向乘子法[J]. 数学季刊, 2021, 36(1): 90-110.
[2]	刘帮涛, 罗敏. Hilbert空间中关于广义混合似平衡问题组的求解[J]. 数学季刊, 2013, 28(2): 180-189.
[3]	文开庭. L-凸空间中新的不动点定理及其应用[J]. 数学季刊, 2013, 28(1): 27-32.
[4]	谢亚君, 马昌凤. 盒子型区域上变分不等式的一个光滑牛顿法[J]. 数学季刊, 2012, 27(1): 152-158.
[5]	陆爱霞, 王庆灵. 关于变分不等式与不动点问题[J]. 数学季刊, 2011, 26(2): 208-212.
[6]	杨峻, 吴忠林. 希尔伯特空间上松弛强变分不等式组的广义映射法[J]. 数学季刊, 2009, 24(3): 426-431.
[7]	刘涛, 冯淑霞, 闫春燕. Lowwner链与复Hilbert空间单位球上推广的Roper-Suffridge算子(Ⅰ)[J]. 数学季刊, 2009, 24(1): 125-131.
[8]	黄文华, 陆川. 一个具有半连续Gateaux导数的泛函的Mini Max定理和非线性波动方程的边值问题的解[J]. 数学季刊, 2007, 22(3): 451-458.